5185756800 has 576 divisors, whose sum is σ = 21901276800. Its totient is φ = 1143152640.

The previous prime is 5185756781. The next prime is 5185756831. The reversal of 5185756800 is 86575815.

5185756800 is a `hidden beast` number, since 5 + 1 + 85 + 7 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5845957 + ... + 5846843.

It is an arithmetic number, because the mean of its divisors is an integer number (38023050).

Almost surely, 2^5185756800 is an apocalyptic number.

5185756800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5185756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10950638400).

5185756800 is an abundant number, since it is smaller than the sum of its proper divisors (16715520000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5185756800 is a wasteful number, since it uses less digits than its factorization.

5185756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 5185756800 is about 72012.1989665640. The cubic root of 5185756800 is about 1730.8949672300.

The spelling of 5185756800 in words is "five billion, one hundred eighty-five million, seven hundred fifty-six thousand, eight hundred".